Which interval notation represents the set of non-negative real numbers?
Answer and explanation
Correct answer: [0, ∞)
Non-negative real numbers are all real numbers greater than or equal to zero, so the set is {x ∈ R : x ≥ 0}. The number 0 must be included, which requires a square bracket at the left endpoint. There is no largest real number, so infinity is written with a parenthesis. Thus the correct interval is [0, ∞), option A.
Frequently asked questions
What is the correct answer to this question?
[0, ∞)
Why is this the correct answer?
Non-negative real numbers are all real numbers greater than or equal to zero, so the set is {x ∈ R : x ≥ 0}. The number 0 must be included, which requires a square bracket at the left endpoint. There is no largest real number, so infinity is written with a parenthesis. Thus the correct interval is [0, ∞), option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
